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Finding the Third Proportional to 469,352.25 and 1,009,462.50

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Solution

The third proportional to 469,352.25 and 1,009,462.50 is: 2,171,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,352.25 : 1,009,462.50 = 1,009,462.50 : x
  2. Step 2: Convert to fraction form
    469,352.25/1,009,462.50 = 1,009,462.50/x
  3. Step 3: Cross multiply
    469,352.25x = 1,009,462.50 × 1,009,462.50
  4. Step 4: Simplify right side
    469,352.25x = 1,019,014,538,906.25
  5. Step 5: Solve for x
    x = 1,019,014,538,906.25/469,352.25
  6. Step 6: Final answer
    x = 2,171,108.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.